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Finding the Third Proportional to 458,052 and 632,928

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Solution

The third proportional to 458,052 and 632,928 is: 874,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,052 : 632,928 = 632,928 : x
  2. Step 2: Convert to fraction form
    458,052/632,928 = 632,928/x
  3. Step 3: Cross multiply
    458,052x = 632,928 × 632,928
  4. Step 4: Simplify right side
    458,052x = 400,597,853,184
  5. Step 5: Solve for x
    x = 400,597,853,184/458,052
  6. Step 6: Final answer
    x = 874,568.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.